Q.1.
One among the following is the correct explanation of pedal equation of an polar curve, r=f (θ), p=r sin(∅) (where p is the length of the perpendicular from the pole to the tangent & ∅ is the angle made by tangent to the curve with vector drawn to curve from pole)is _______
- a) It is expressed in terms of p & θ only
- b) It is expressed in terms of p & ∅ only
- c) It is expressed in terms of r & θ only
- d) It is expressed in terms of p& r only
Q.2.
The pedal Equation of the polar curve rn=an cosnθ is given by ______
- a) rn=pan
- b) rn-1=pan
- c) rn+1=pan+1
- d) rn+1=pan
Q.3.
Polar equations of the circle for the given coordinate (x,y) which satisfies the equation given by (x-a)2+(y-b)2=r2 where (a,b) is the coordinates of the centre of the circle &r is the radius.
- a) x = r cosθ, y = r sinθ
- b) x = a+ r cosθ, y = b + r sinθ
- c) y = a+r cosθ, x = b + r sinθ
- d) x = r sinθ, y = r cosθ